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Finding the Fourth Proportional to 10,768.68, 14,862.15 and 6,052.95

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Solution

The fourth proportional to 10,768.68, 14,862.15 and 6,052.95 is: 8,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.68 : 14,862.15 = 6,052.95 : x
  2. Step 2: Convert to fraction form
    10,768.68/14,862.15 = 6,052.95/x
  3. Step 3: Cross multiply
    10,768.68x = 14,862.15 × 6,052.95
  4. Step 4: Simplify right side
    10,768.68x = 89,959,850.84
  5. Step 5: Solve for x
    x = 89,959,850.84/10,768.68
  6. Step 6: Final answer
    x = 8,353.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.